Multilevel Fast Multipole Algorithm for Radiation Characteristics of Shipborne Antennas Above Seawater

Zhao, Xiang; Liang, Chuntao; Liang, Le

doi:10.2528/pier08012003

Cited by 12 publications

(11 citation statements)

References 23 publications

(50 reference statements)

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“…Additionally, the memory needed to store the reduced matrix can be a problem as well. One of the most common approaches to ease the burden on the computational resources entails storing only the near-field terms of the Method of Moments (MoM) coupling matrix and computing the far-field interactions via the MLFMA, [3][4][5][6][7]. With MLFMA, the whole geometry is compartmentalized into several first-level cubical groups, which, in turn, generate higher-order cubes as they are grouped.…”

Section: Introductionmentioning

confidence: 99%

An Efficient Hybrid-Scheme Combining the Characteristic Basis Function Method and the Multilevel Fast Multipole Algorithm for Solving Bistatic RCS and Radiation Problems

García¹,

Delgado²,

Lozano³

et al. 2011

PIER B

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Abstract-A numerically efficient approach for the rigorous computation of bi-static scattering and radiation problems is presented. The approach is based on an improvement of a previous method scheme that combines the Characteristic Basis Function Method (CBFM) and the Multilevel Fast Multipole Algorithm (MLFMA). The approach combines Characteristic Basis Functions (CBFS) and subdomains functions for reducing the CPU time in the pre-process and in the solving iterative process for simple or multiple excitations. It is intended for use in very large cases where an iterative solution process cannot be avoided, even considering the matrix size reduction achieved by the CBFM. This reduction is particularly important for solving radiation or bistatic problems in which an integral equation is solved once.

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Section: Introductionmentioning

confidence: 99%

An Efficient Hybrid-Scheme Combining the Characteristic Basis Function Method and the Multilevel Fast Multipole Algorithm for Solving Bistatic RCS and Radiation Problems

García¹,

Delgado²,

Lozano³

et al. 2011

PIER B

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“…It usually requires O(N 2 ) memory to store the impedance matrix and O(N 2 ) operations to perform the matrix-vector product via an iterative solver, where N is the number of unknowns. The memory requirements and CPU time for solving the matrix equation are dramatically reduced by using some fast algorithms in the MoM such as Precorrected-FFT method (P-FFT) [7,8], Adaptive Integral Method (AIM) [9][10][11][12][13][14] and Multilevel Fast Multipole Algoithm (MLFMA) [15,16].…”

Section: Introductionmentioning

confidence: 99%

Interpolation Scheme Based on Adaptive Integral Method for Solving Electrically Large Radiation Problem by Surface/Surface Configuration

Wang¹,

Gong²,

Jin³

et al. 2010

PIER M

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Abstract-A novel interpolation scheme based on Adaptive Integral Method (AIM) is presented to solve electrically large radiation problem of conducting surface/surface configurations. For a complex structure that involves wires and surfaces, three basis functions must be assigned to surfaces, wires and wire/surface junctions. To simplify this, the thin strips with no thickness instead of wires are proposed, and the wire/surface junctions can be replaced by surface/surface junctions, thus it is only necessary to define a uniform basis function. The Electric Field Integral Equation (EFIE) is solved using the Method of Moments (MoM) to obtain the equivalent surface current on PEC surfaces. To facilitate the analysis of electrically large radiation problem, the interpolation scheme based on AIM is employed to accelerate the matrix-vector multiplications and reduce matrix storage. Numerical results are presented to demonstrate the accuracy and efficiency of the technique.

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“…This module is based on parallelized MoM (Method of Moments) with MLFMM (Multilevel Fast Multipole Method) [6][7][8][9] and CBFM (Characteristics Basis Function Method) [10] to reduce the CPU-time and memory requirements for problems of a single excitation (antennas) or multiple excitations (monostatic RCS) [11]. To solve very large problems, a new algorithm based on "domain decomposition" has been successfully implemented for previous versions of the code.…”

Section: Introductionmentioning

confidence: 99%

REDESIGN AND OPTIMIZATION OF THE PAVING ALGORITHM APPLIED TO ELECTROMAGNETIC TOOLS (Invited Paper)

Moreno¹,

Algar

Gonzalez³

et al. 2011

PIER B

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Abstract-To study any electromagnetic system, the geometry model must be discretized into elements with an appropriate size for the working frequency. The discretization of a system must be transparent to the user of electromagnetic computing tools. A mesher is presented based on the paving algorithm. The algorithm has been modified to allow triangular elements and has been accelerated by distributing the load on multiple processors simultaneously. Also, a multilevel mode has been implemented. With this tool, any geometry defined by NURBS (Non Uniform Rational B-Spline) surfaces can be decomposed into triangular and quadrangular curved elements.

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Multilevel Fast Multipole Algorithm for Radiation Characteristics of Shipborne Antennas Above Seawater

Cited by 12 publications

References 23 publications

An Efficient Hybrid-Scheme Combining the Characteristic Basis Function Method and the Multilevel Fast Multipole Algorithm for Solving Bistatic RCS and Radiation Problems

An Efficient Hybrid-Scheme Combining the Characteristic Basis Function Method and the Multilevel Fast Multipole Algorithm for Solving Bistatic RCS and Radiation Problems

Interpolation Scheme Based on Adaptive Integral Method for Solving Electrically Large Radiation Problem by Surface/Surface Configuration

REDESIGN AND OPTIMIZATION OF THE PAVING ALGORITHM APPLIED TO ELECTROMAGNETIC TOOLS (Invited Paper)

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